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Finding the Fourth Proportional to 139,431.64, 192,407.76 and 75,768.96

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Solution

The fourth proportional to 139,431.64, 192,407.76 and 75,768.96 is: 104,556.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,431.64 : 192,407.76 = 75,768.96 : x
  2. Step 2: Convert to fraction form
    139,431.64/192,407.76 = 75,768.96/x
  3. Step 3: Cross multiply
    139,431.64x = 192,407.76 × 75,768.96
  4. Step 4: Simplify right side
    139,431.64x = 14,578,535,871.13
  5. Step 5: Solve for x
    x = 14,578,535,871.13/139,431.64
  6. Step 6: Final answer
    x = 104,556.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.